# Conversion of particles per mL to particles per cubic meter

I have tried to do this problem 20 times and can't seem to come up with the right answer. Can someone help me with this and explain how you came about the answer?

9.49 particles per mL = ______ particles per cubic meter

Thank you for any help that you can give me! ;D

1mL = 1cm^3
there are (100cm)^3 in 1m^3

1mL = 1cm^3
there are (100cm)^3 in 1m^3

So would it be .0949 or 9.49e-2?

9.49 particles / mL = 9.49 particles / cm^3

you have to convert each dimension of cm to m

so 9.49 particles / cm^3  x  100 cm / m x  x  100 cm / m  x  100 cm / m

It should be 9.49x10^-6 m^3

My professor told me that the correct number is 9.49x10^+6 m^3. I'm a little confused!  ???

Oops.  He's right.  This is why one should always show their work.

MarieHulswit wrote:

My professor told me that the correct number is 9.49x10^+6 m^3. I'm a little confused!  ???

If you would have worked my work from above it would have given you the same answer as your prof